8144653312960 has 224 divisors, whose sum is σ = 21137612385600. Its totient is φ = 2977368145920.

The previous prime is 8144653312933. The next prime is 8144653313011. The reversal of 8144653312960 is 692133564418.

It is a junction number, because it is equal to n+sod(n) for n = 8144653312898 and 8144653312907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208214364 + ... + 208253476.

Almost surely, 2^{8144653312960} is an apocalyptic number.

8144653312960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8144653312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10568806192800).

8144653312960 is an abundant number, since it is smaller than the sum of its proper divisors (12992959072640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8144653312960 is a wasteful number, since it uses less digits than its factorization.

8144653312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40359 (or 40349 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 8144653312960 in words is "eight trillion, one hundred forty-four billion, six hundred fifty-three million, three hundred twelve thousand, nine hundred sixty".